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10830208 = 27211401
BaseRepresentation
bin101001010100…
…000110000000
3202101020020211
4221110012000
510233031313
61024043504
7161024644
oct51240600
922336224
1010830208
116127994
123763594
13232270c
14161cc24
15e3de3d
hexa54180

10830208 has 32 divisors (see below), whose sum is σ = 21732120. Its totient is φ = 5376000.

The previous prime is 10830203. The next prime is 10830227. The reversal of 10830208 is 80203801.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10830203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26808 + ... + 27208.

Almost surely, 210830208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10830208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866060).

10830208 is an abundant number, since it is smaller than the sum of its proper divisors (10901912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10830208 is an equidigital number, since it uses as much as digits as its factorization.

10830208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10830208 is about 3290.9281365597. The cubic root of 10830208 is about 221.2477855226.

The spelling of 10830208 in words is "ten million, eight hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 128 211 401 422 802 844 1604 1688 3208 3376 6416 6752 12832 13504 25664 27008 51328 84611 169222 338444 676888 1353776 2707552 5415104 10830208